Bernoulli's Principle & Fluid Flow – AP Physics 1 | ShowMeClass

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Bernoulli's Principle & Fluid Flow

AP Physics 1 · Fluids

Learning Objectives

Apply Bernoulli's equation to fluid flow problems

Explain continuity equation A₁v₁ = A₂v₂

Relate flow speed and pressure inversely

Predict pressure changes in constricted pipes (Venturi effect)

Key Equations

Graph Legend

Velocity v (m/s)

Pressure P (kPa)

Total energy (const)

Key Insight

Where a fluid speeds up (narrow pipe), its pressure drops. Where it slows (wide pipe), pressure rises. This is the Venturi effect. Total energy per unit volume (P + ½ρv² + ρgh) stays constant along a streamline.

BernoulliFluidsAP Physics 1Continuity

v₁—

v₂ (narrow)—

P₁—

P₂—

VELOCITY & PRESSURE ALONG PIPE

Wide Pipe Radius A₁ (cm²) 20

Narrow Pipe Radius A₂ (cm²) 5

Inlet Velocity v₁ (m/s) 2.0

Fluid Density ρ (kg/m³) 1000

Height Difference Δh (m) 0.0

Display

Bernoulli's Analysis

📝 Quick Quiz▼

1. When a fluid flows from a wide pipe into a narrow pipe, the velocity:

Decreases Stays the same Increases Drops to zero

2. In a horizontal pipe, if velocity increases, pressure:

Increases Decreases Stays the same Oscillates

3. The continuity equation states:

P₁ = P₂ A₁v₁ = A₂v₂ F₁ = F₂ ρ₁ = ρ₂